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A married couple decides that they will continue to have children until they have 3 boys....

A married couple decides that they will continue to have children until they have 3 boys. It is assumed that having a boy or a girl is equally likely. (a) What is the probability that the couple has 5 children until they have 3 boys? (b) How many children does this couple expect to have until they have 3 boys?

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